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Finding the Fourth Proportional to 5,883.72, 8,827.86 and 2,594.48

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Solution

The fourth proportional to 5,883.72, 8,827.86 and 2,594.48 is: 3,892.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,883.72 : 8,827.86 = 2,594.48 : x
  2. Step 2: Convert to fraction form
    5,883.72/8,827.86 = 2,594.48/x
  3. Step 3: Cross multiply
    5,883.72x = 8,827.86 × 2,594.48
  4. Step 4: Simplify right side
    5,883.72x = 22,903,706.21
  5. Step 5: Solve for x
    x = 22,903,706.21/5,883.72
  6. Step 6: Final answer
    x = 3,892.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.